, Volume 53, Issue 3, pp 201-213,
Open Access This content is freely available online to anyone, anywhere at any time.

Dynamics, chaos and synchronization of self-sustained electromechanical systems with clamped-free flexible arm

Abstract

An electromechanical system with flexible arm is considered. The mechanical part is a linear flexible beam and the electrical part is a nonlinear self-sustained oscillator. Oscillatory solutions are obtained using an averaging method. Chaotic behavior is studied via the Lyapunov exponent. The synchronization of regular and chaotic states of two such devices is discussed and the stability boundaries for the synchronization process are derived using the Floquet theory. We compare the results obtained from a finite difference simulation to those from the classical modal approach.